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466223406 = 231121973463
BaseRepresentation
bin11011110010100…
…000000100101110
31012111021121021120
4123302200010232
51423323122111
6114132441410
714360555625
oct3362400456
91174247246
10466223406
1121a197600
12110179266
137578a14c
1445cc26bc
152ade5406
hex1bca012e

466223406 has 96 divisors (see below), whose sum is σ = 1096005120. Its totient is φ = 131725440.

The previous prime is 466223383. The next prime is 466223437. The reversal of 466223406 is 604322664.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006731 + ... + 1007193.

It is an arithmetic number, because the mean of its divisors is an integer number (11416720).

Almost surely, 2466223406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466223406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548002560).

466223406 is an abundant number, since it is smaller than the sum of its proper divisors (629781714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466223406 is a wasteful number, since it uses less digits than its factorization.

466223406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 466223406 is about 21592.2070664395. The cubic root of 466223406 is about 775.4099286768.

The spelling of 466223406 in words is "four hundred sixty-six million, two hundred twenty-three thousand, four hundred six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 73 114 121 146 209 219 242 363 418 438 463 627 726 803 926 1254 1387 1389 1606 2299 2409 2774 2778 4161 4598 4818 5093 6897 8322 8797 8833 10186 13794 15257 15279 17594 17666 26391 26499 30514 30558 33799 45771 52782 52998 56023 67598 91542 96767 101397 112046 167827 168069 193534 202794 290301 335654 336138 371789 503481 580602 642181 743578 1006962 1064437 1115367 1284362 1926543 2128874 2230734 3193311 3853086 4089679 6386622 7063991 8179358 12269037 14127982 21191973 24538074 42383946 77703901 155407802 233111703 466223406